The alternate spelling will be incorporated into the language in many cases, added to dictionary; else we'll have an increasingly divergent lingua franca from the standard forcing the vernacular to choose sides.
In the USA we know from elections and stereotypes that "dumbing down" is quicker and more lasting than efforts to elevate our communication. Intellectual and verbal precision is commonly associated with arrogance. Or it is ignored. People don't want to admit they don't know at the same time they judge others for pretension of intellectual superiority. The result is a lack of actual communication that goes unacknowledged.
Along with this comes class/power division not only linguistically but morally as well. Lawyers and their subsets, politicians and corporate business people, don't lie. Yep, they don't consider broadly proclaiming purposeful misdirection and untruth, blatantly in opposition to facts, as morally wrong; they call it "engaging in puffery" and to be expected and not disregarded, often becoming the topic, replacing the initial argument that was fact based and decisions are made that affect people based on a fictitious hypothetical set of false presumptions, that everyone initially knew were false but that becomes irrelevant. Angels dancing on the head of a pin becoming law, deciding court cases, basically determining who suffers and who prospers, who lives and dies.
My point being that this linguistic divide is also a moral issue and we ought to acknowledge that more fervently.
Also that instead of worrying about "through" and "thru" (I prefer "throu" because it retains its roots while also being conveniently shorter and having precedence; though since "thru" isn't easily confused with any other word there is no functional answer to why not change it, alas),
perhaps we ought to start at the top rather than the bottom,
abolish "puffery" before worrying about "lite", as one has immense moral and real life consequences while "lite" is just alternate spelling without consequence or benefit other than less letters, easier to spell (and does nothing to distinguish between weight and photons as products use the same spelling for both - if you're gonna mess with the language at least make it useful, please).
high language - vernacular - lingua franca - lingua fraudulentus ("alt-fact")
The language (labeling) of products in our consumer society + cultural disdain for perceived snobbery (likely encouraged by business/political forces (see Rollo May's work about Apathy) to discourage puffery being challenged) + dealing with diverse regional/educational differences = lingua franca (trade language)
Vernacular shares the cultural biases and includes a wider range of situation appropriate (talking to parents, children, bosses, neighbors, church, etc) and allows use of more descriptive and precise terms, adjectives and adverbs (but not too much) and a limited set of emotional connotation (though highly important, often paramount, an increasingly simplified mad-sad-glad-nice emotional range is in use).
Lingua Fraudulentus is what I'm calling the language of lawyers, politicians and corporations, especially when addressing the public. It is highly emotional though simplistic and relies on deceptive postulation of alt-facts (hypothetical misdirection). While this includes what normal people would term lies, it is important to understand that the people that participate in this convince themselves of its validity. By repetition (or psychopathy), they believe their own words and conspire within their own system to validate their peers' stated views, even when arguing against them by not actually challenging the truth of assertions but just the conclusions drawn from those hypothetical (false) facts. Religious groups have done this for as long as we have knowledge and usually the powerful (aggregators of wealth and control) used them to introduce and enforce "alternative" beliefs (only introducing military/police force when absolutely necessary).
But that has changed and business/politics have taken this as their own, introducing non-factual beliefs directly and using punitive/reward economics and legislation to enforce their adoption.
The real-world indicator of this is the largest number & percentage of imprisoned citizens to ever exist. I conclude this to be the vast disconnect between language (as moral/cultural belief) and reality. As the class/comfort divide widens based on fictitious construction, actual live humans knowingly or unknowingly rebel.
It is the pull of the lingua fraudulentus that pulls the vernacular further away from accurate "high language" in a more fundamental way than spelling controversy. While "lite" can be annoying, it doesn't change the meaning until marketing introduces it as something that is going to make someone less obese because the product contains less fat allthewhile knowing that fat doesn't make fat, sugar does and the sugar has often been increased (while expensive ingredients containing useful fat have been reduced). It's the fraudulent marketing that creates a public belief that continues despite the contrary factual evidence (people believe the word "lite" means low-fat meaning it will make them be less fat, which is wrong).