My dedicated 45 degree angle picture framers’ miter saw is more accurate than any adjustable saw can aspire to.
That is partly because the angle is not adjustable and is difficult to knock out of adjustment.
But the bigger part is that the adjacent cuts are made on the opposite side of the blade.
Assuming the 90 degree angle fence is truly 90 degrees, (it is), the left and right sides of the miter will always add up to 90 degrees, even if one side is 44 degrees, the opposite side is going to be 46 degrees and always adding up to a perfect 90 degree angle.
I will step out on the limb and assume that most of the cuts are going to be to sheet goods of some sort.
You could use cuts on the opposite side of the blades, but that would mean keeping track of all the pieces. A headache I would not like to deal with.
But a router bit is factory fixed. And like the dedicated miter saw, it cannot easily be knocked out of adjustment.
In that case, Whiteside (and others) make precise 45 degree angle router bits. These are guided bits (with a bearing) but mounted on a table with a fence will be a better choice. They make one (#2306) for cutting 3/4” thick materials and one for thicker materials (#2310).
It is probably best to first cut the miters with the saw and then just dress the edges with the router bit.
The bit for 3/4” is about $50.00 and the one for thicker materials (#2310) is about $100.00. The #2310 has a cutting length of 1-1/2”. I am no good at square roots, but that should handle just over 1” thickness.