So, RM1000 uses DC-DC converters to generate 5V and 3.3V. Which is great, this is exactly what you want.
And this is what you have to look at when buying modern power supply for 5V socketA. It matters more than current ratings, because for PSU with group regulation ratio between 5V/3.3.V and 12V is what's important, not just load itself. It can be rated for 35A 5V and may shut off due to over/under voltage when you load it with just a couple of amps at 5v with zero 12V load. Or it may blow things up if over/under voltage protection does not work properly.
Modern group regulated power supplies are unsuitable for 5V socketA, no matter how high 5V current rating is!
Said RM1000 is also basically a 150W power supply for such system, since it has 150W limit on 5V+3.3V, so have to keep this in mind. It is enough, but with old high end GPU it may be pretty close. You can see how relatively small whole DC-DC converter board is and how little cooling it has in review i linked, which in this case powers whole system.
I've been using this to power my 5V socketA system for about 3 years at this point:
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That's cutting it close, but DC-DC too and works just fine. Partly because the system is pretty mid range one. Partly because ratings here are limited by heat and this DC-DC converters can handle much higher transient loads than the rating for continuous load is.
I've also measured 5V consumption on 12V socketA - it is <~3A and depends more on USB devices and storage than anything. Fun fact - due to the same issue with group regulation old PSUs, designed for 5V systems, will not work well here. The same issues with load ratio, only in this case too much 12V load. Have to keep this in mind - such systems require modern PSU.
Or in summary - picking power supply only based on 5V current rating is a good way to get a non-functional system or even damage the hardware. Have to dig a little deeper.