I've seriously thought about it for my trailer; priced the adapters, was set to order two more tires to match my van's, and ended up deciding to roll with what I had.
It's a thing the military did extensively so they could swap out identical wheels and NDTs with the tow vehicle if needed. No idea how widespread the practice is now in armed services, but I'll assume they still do.
I've towed my trailer all over hither and yon for years without having same wheels and tires. It would look great, you bet, and be more practical in case of a flat or damaging one of the steelies on my van and I really needed to get out from somewhere way back country.
I'm not a real fan of adapters though (my tow vehicle wheels are 8 lug) or changing the track width (it's been terrific the way it is) and my van tires are E-rated LTs, which would be gross overkill for the trailer. That'd be nice too, though I can't justify the expense.
So, because it has presented no problem for thousands and thousands of miles in all kinds of terrain and weather over a period of almost 4 years, and because I have a spare for each already, I'm keeping it the same for the foreseeable future.

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Though I would like to find a good, steady, low-cost arrangement to get my van spare onto a simple swing out like the trailer has, so I can reclaim that underbody space where it is now, as a 'basement' accessible from inside the van.
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