I believe that it will work well, based on an experiment that I did adding a fourth tap using the Zoom MS-100 .
I set the NUX Tape Core to deal with the first three taps eg 106ms 204ms 285ms with zero feedback, then set the Zoom at 360ms slightly louder with feedback. The result is pleasing and sounds like Wonderful Land and all those other tunes that use the same pattern. You make minor adjustments to get the others. You can work with different head levels to a certain extent by using to pedals. The timing possibilities are endless if you can get your head around the 'note values' and timing.
It's easy to get the Apache, MOM, Frightened City echo from one NUX Tape Core, just by using the software and changing the tap values, in fact I got it identical to the one for Apache on the H&C and the echo tone is beautiful.
One thing I do recommend is that you take note of the different positions of those note values when editing, I have taken pictures of the ones that sound good.
Some people may find it fiddly, but because I understand a lot of what's going on I find it rewarding and learning.
After all, in these times we find ourselves in it's good to have something like this to help relieve the boredom. I do a bit of this, a bit of guitar playing (I'm learning new techniques such as finger picking) which is fun as well as being challenging, as well as gardening, reading, it's like being on holiday.