I'd not recommend any GPU with only 2GB of RAM.... I don't have anything to test but you see posts about issues with these on some setups. That said, the 1030 is no powerhouse it is much more powerful than the NUC's iGPU & the iGPU on that Xeon 1390T (I'd not touch the Xeon 1290t as it's iGPU is much more limited) ... yes, both the Xeons you linked to have iGPU (though I'm not familiar with the P designation). You could see how the w1390T goes and add a fanless card (or a fanned card where you alter the fan curve so it is near silent) card later if it struggles?
I've had Pio Plasmas, now Sony & LG OLEDS but have always done all the scaling in the HTPC. While I loved my plasma, the OLEDS are also good and the new range of QD-OLED TV's coming out later this year are expected to be much better than both.
The professional "P" series designation specifies the Intel 750 graphics for Xeon Rocket Lake Xeon CPUs, like the 1390T
https://en.wikipedia.org/wiki/Intel_Graphics_Technology#Xe_LP_Architecture_(Gen12) and Comet Lake Xeon 1290T.
https://en.wikipedia.org/wiki/Intel_Graphics_Technology#Kaby_Lake_Refresh_/_Amber_Lake_/_Coffee_Lake_/_Coffee_Lake_Refresh_/_Whiskey_Lake_/_Comet_LakeBut since you and my builder agree that it's far preferable going with a video card rather than expecting even the better P750 graphics in the 1390T CPU to do 1080p scaling with JRVR, is there any significant benefit of going with the 1290T CPU? It's got 10 cores to the 1390T's 8 cores and 1.9GHz vs. 1.5GHz. And the 1390T's lowest turbo frequency is 4.8GHz vs. the 1290T's 4.6GHz, presumably allowing the latter more leeway to cooler (?).
As for GPU hardware to scale DVDs to 1080p, I appreciate the apparent reluctance here to recommend a scaler box in favor of scaling software, though I'd still like opinions here on this particular box versus JRVR and, say an Nvidia 1650 card.
https://www.avsforum.com/threads/sold-lumagen-radiance-mini-3d-300.3171076/ In any case, however, GPU card selection and its cooling scheme must fit between virtually silent fan noise and pc case size tolerances. But at least for the latter concern there's good news.
While my goal still (however unpopular) is to place the desktop htpc and some other hardware under the 50" to 55" TV mounted on a stand like this,
https://www.perlesmith.com/products/perlesmith-universal-swivel-tv-stand-base-table-top-tv-stand-for-37-65-inch-lcd-led-tvs-height-adjustable-tv-mount-stand-with-tempered-glass-base-vesa-600x400mm-holds-up-to-88lbs-pstvs13?_pos=1&_sid=e9c466ae3&_ss=r&variant=39999810601069 after making all relevant placement measurements using my sister's Panasonic TH-50pz700 50" plasma, with its 24.5" screen height, 12.25" screen center and 4.5" wide (!!) bottom bezel to generate worst case numbers, the screen would be centered (or even ideally a few degrees below) at seated eye level on my chair 10.5 feet away, while the bottom bezel is ~ 14.25" above the floor. That would leave plenty of space for pc cases like these to fit underneath.
https://www.silverstonetek.com/product.php?pid=233&area=enhttps://www.silverstonetek.com/product.php?pid=241&area=enSo unless you would recommend some exotic solution-like having the GPU card external to the pc case (y/n??) instead of a presumably far more expensive water cooled scheme-please now recommend one or more make/model fanned or fanless GPU cards for easy and quiet 1080p scaling with JRVR.
Ideally, of course, an efficient GPU card combined with a 35 watt CPU will allow my builder to minimize the number of case fans.
As for TVs, my concern is how much better would the AI in Sony's top model 2022 QL-OLED's processor make my DVDs-up scaled by JRVR to 1080p-look, versus a 50" 2012 Panasonic plasma. Indeed, as far less people watch DVDs at all today how likely would that processor's AI interpolative powers even be designed for that task?
The OPs budget allows for neither high-end components, nor really spending half of it on the case already. A case with a single large slow spinning fan is practically silent, unless you are like in a sound-controlled chamber.
My budget for this pc is ~ $3.4K, if needed to my goals require. But please review my revised situation.