may not … but (at least)
even though not
even if not
AないまでもB is an expression lit. meaning that “even if not as far as A, B” and is used when A which is of ultimate degree might not achievable, but lower-level alternative B is still possible/still is the case. In A, phrases like とは言えない、に及ばない、とは言わない are common. B often expresses wishes, commands, requests, and suggestions with たい、てほしい、てください、たらどう、つもり、といい and so on.
Expressions like (くらい)は、せめて、かなり、まあまあ are also common in B.
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