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Are you using road or mtb ht2? With the mtb ones you have at least one spacer to play with and it can definitely help.
If you have a 68mm shell then there should be two driveside spacers that I’ve found can all go on the nds if needed. Probably not ideal but…
M_V-
Are you using road or mtb ht2?
I'm not using either, in fact I've specifically passed up on some HT2 cranks (in favour of square taper) for kids bikes where I want to make the q-factor as narrow as possible. TBH, I've never worked out how the HT2 BB and crank combinations are meant to work with regard to 68mm vs 73mm BB shells. From what I can work out (happy to be corrected), they use the same width BB, but just use fewer spacers if you have a 73mm shell, so there's no reduction in q-factor as a result of having a narrower (68mm) BB shell, which seems nuts.
ffm
I'm really quite meh about HT2 because of the lack of flexibility regarding chain line and q-factor. I like that square taper cranks can be set up as far inboard as possible on 1x systems by just dropping a afew £ on a new BB. With HT2 tinkering is basically impossible.