A 4K projector will appear to be sharper at 10ft:
1080P DLP will also appear sharper than 1080P 3LCD at 10ft.
The HC2150/2250 are good values and perform well but DLP is better for sports. I'd suggest looking at an LED BenQ X1300i which will downsample 4K HDR to 1080P HDR, as will the short throw laser Optoma GT1090HDR (GT1080HDR is similar but with a bulb as is the longer throw BenQ TH685) and the true 4K HT3550 and TK850. The new TK700STi might be worth looking at while the TK800M is still a solid option:
This tool will help you decide where to place the projector and if your room can accommodate it:

BenQ TK800M Projection Calculator - Throw Distance and Screen Size
Find screen size and throw distance for the BenQ TK800M projector.
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