As Cerberus said, usage differs between nouns. Unfortunately, there are no simple rules that are completely effective at predicting which nouns tend to take which kind of plurals.
The use of one kind of plural versus the other also may depend on context, but the way you've put it is not quite accurate ("In technical language, generally, Latin-style is the only proper form of Latin plurals"). There are many situations in technical language where English-style plurals are correct.
Some notes on specific nouns or categories of nouns:
For crisis and axis, people rarely use regularly formed English-style plurals ending in -sises/-xises. You'll almost always see crises and axes instead. Other nouns derived from Greek that end in unstressed -sis also tend to use the Latin-style plural in -ses to the exclusion of the English-style plural, such as basis, thesis, hypothesis, neurosis.
Nouns ending in -or have plurals ending in -ors in English, not in -ores as in Latin. Thus, we say and write professors, vectors, operators, sectors, etc. (These nouns have various origins; not all English nouns ending in -or are words in Latin.)
Latin-style plurals are extremely rare for the following nouns (this is not a comprehensive list): simile, rationale, specimen, omen, regimen, ratio.
As mentioned in Andreas Blass's answer, some words, such as antenna, allegedly are or should be used with different plurals for different senses.