According to Webster's Revised Unabridged Dictionary 1913, the words are both rough synonyms when used as adverbs but 'though' is a little less specific and intimate:
Though, adv. However; nevertheless; notwithstanding; -- used in familiar language, and in the middle or at the end of a sentence.
Nominally I would recommend however as being
less ambiguous more generalized formal, however since you mention a father's love, though is preferable in this case. Notice these relevant definitions of familiar from the same dictionary:
Familiar (?), a. [OE. familer, familier, F. familier, fr. L. familiaris, fr. familia family. See Family.]
Of or pertaining to a family; domestic. Familiar feuds." Byron.
Closely acquainted or intimate, as a friend or companion; well versed in, as any subject of study; as, familiar with the Scriptures.
Characterized by, or exhibiting, the manner of an intimate friend; not formal; unconstrained; easy; accessible. In loose, familiar strains." Addison.
Granted, I have a hunch that this is a religious context, rather than one relating to the domestic family, though if that is the case, there is a reason Jesus referred to God as a Father and I believe this matches up with that nicely, somehow.
A correction, actually, however is not less ambiguous exactly, since it contains the same synonym set:
However (?), adv. [Sometimes contracted into howe'er.]
In whetever manner, way, or degree.
At all events; at least; in any case.
conj. Nevertheless; notwithstanding; yet; still; though; as, I shall not oppose your design; I can not, however, approve of it.
Syn. -- However, At least, Nevertheless, Yet. These words, as here compared, have an adversative sense in reference to something referred to in the context.
However is the most general, and leads to a final conclusion or decision. Thus we say, the truth, however, has not yet fully come out; i.e., such is the speaker's conclusion in view of the whole case. So also we say, however, you may rely on my assistance to that amount; i. e., at all events, whatever may happen, this is my final decision. At least is adversative in another way. It points out the utmost concession that can possibly be required, and still marks the adversative conclusion; as, at least, this must be done; whatever may be our love of peace, we must at least maintain the rights of conscience.
Nevertheless denotes that though the concession be fully made, it has no bearing of the question; as, nevertheless, we must go forward.
Yet signifies that however extreme the supposition or fact comceded may be, the consequence which might naturally be expected does not and will not follow; as, though I should die with thee, yet will I not deny thee; though he slay me, yet will I trust in him. Cf. But.
I included these other synonyms for further consideration. However is however, still more formal. You may want to consider yet in this case, since this sounds like it may also be a case of intent that betrays the actions exercised. Namely seems like show of faith without faith, denoting a contrary result from the intent of performing the action, either through the action failing to strengthen faith or the failure of the action to actually prove faithfulness.