In [this clip](https://youtu.be/dymdPycDzyw) the woman says 服脱ぎますか but she is
talking about herself as opposed to asking the other party to do something.
This seems to be a situation where either 許可求め or 申し出 should apply. If it is a
許可求め shouldn't てもいいですか be more apt? Or more appropriately this seems to be a
scenario of 申し出, in which case I think it calls for シヨウカ形. This seems to
satisfy several conditions of 申し出:
聞き手を行為者に含まず、聞き手の利益になると思われることを、話し手の行為で実行しようとする行為で、決定権は聞き手である。

So why is it not 服脱ぎましょうか？

Also, what 形 is 脱ぎますか? 終止形＋敬体＋か?
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2022-11-15T08:03:57.130
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grammar nuances volitional-form form
「脱ぎますか」 as 許可求め・申し出
Of the two, it can be considered as a 申し出 and 脱ぎましょうか is okay.

Roughly, I think it is like saying _Do I...?_ instead of _Shall I...?_
although _Do I ...?_ is much less common.

* * *

That said, using ーますか? as a proposal is common when the agent is the listener
(opposite of 聞き手を行為者に含まず). For example:

  * 試食しますか? Would you like to try it?

I guess -ますか just can be used equally when 聞き手を行為者に含まない.

  * お持ちしますか. Shall I bring it (the one with right size for you)?
  * お出ししますか. Shall I bring it (next dish, for example)?

-しましょうか works as well, but -しますか sounds like "Am I supposed to ..?".
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2022-11-15T10:16:42.087
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She is definitely not asking for permission. She is not particularly offering
to do something for the man, either. It’s more like asking what is supposed to
happen next, according to his rules, procedure, preferences, or whatever. It’s
almost like a question about a fact.

ましょうか would make her sound like she is either willing to do something for him
or trying to get actively involved in mutual decision making on whether or not
to do it. ますか sounds more 事務的.
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