What do you mean by respect? Here's a layperson's perspective, at least.

Up through the 486 (with its built in x87), the x87 was always a niche product. You had to know about it, need it, buy it, and install it. This is over and on top of buying a PC in the first place. So definitionally, it was relegated it to the peripheries of the industry. Most people didn't even know x87 was a possibility. (I remember distinctly a PC World article having to explain why there was an empty socket next to the 8088 socket in the IBM PC.)

However, in the periphery where it mattered, it gained acceptance within a matter of a few years of being available. Lotus 1-2-3, AutoCAD, and many compilers (including yours, IIRC) had support for x87 early on. I would argue that this is one of the better examples of marginal hardware being appropriately supported.

The other argument I'd make is that (thanks to William Kahan), the 8087 was the first real attempt at IEEE-754 support in hardware. Given that IEEE-754 is still the standard, I'd suggest that x87's place in history is secure. While we may not be executing x87 opcodes, our floating point data is still in a format first used in the x87. (Not the 80-bit type, but do we really care? If the 80-bit type was truly important, I'd have thought that in the intervening 45 years, there'd be a material attempt to bring it back. Instead, what we have are a push towards narrower floating point types used in GPGPU, etc.... fp8 and f16, sure... fp80, not so much.)

> What do you mean by respect?

The disinterest programmers have in using 80 bit arithmetic.

A bit of background - I wrote my one numerical analysis programs when I worked at Boeing. The biggest issue I had was accumulation of rounding errors. More bits would put off the cliff where the results turned into gibberish.

I know there are techniques to minimize this problem. But they aren't simple or obvious. It's easier to go to higher precision. After all, you have the chip in your computer.