It'll get you in the ballpark, but the 12AY7s I have on hand (mostly NOS JAN units) give a little bit different tone to any of my 12AX7 types - a little less bright and a bit more "bluesy/fat" sounding, in addition to the lower gain. Likely the bias point is a little different also, which would affect the overall THD when clean and the overdrive character when driven hard. Might try different 12AX7-ish types along with the gain reduction via the input pad to get closer, and playing with Preamp Bias, Plate Freq, and hardness, too.
12AT7s draw more idle current (will bias very differently than 12AX7 types in the same circuit) and usually sound a bit cleaner than 12AX7, but with a bit thinner tone. Their frequency response is very good in the high end due to being designed to work for grounded-grid radio-frequency preamplification.
https://www.effectrode.com/knowledge-base/the-12at7-tube/
There's eight to choose from: 12AX7A, 12AX7A JJ, 12AX7A Rca, 12AX7A Syl, 12AX7B, 7025, ECC83, and ECC803S. Some info on what each is modeling is here, but the info is a bit older (with parenthetical notes referring to AxeFX II) and only includes 5 12AX7 types and the EF86 (which it mentions is normalized to be roughly the same gain as a 12AX7):
https://wiki.fractalaudio.com/wiki/index.php?title=Amp_block#PREAMP_TUBE_TYPE
Given that there are 8 12AX7s to choose from, it
would be nice to have a 12AY7 and 12AT7 to play with as well, as the bias/hardness/plate frequency/etc. settings to give a more accurate representation of the sound, are as of now, guesses....