I simply copied and pasted the monitor name and model number along with adding "specs" at the end and googled.
Go to each of these and expand the "specs" option then go down to the "signal compatibility" section and it will tell you what refresh rates at what resolutions it supports.
Here's the first one:
http://www.sceptre.com/overview-398.html
Here's the second one:
http://www.sceptre.com/overview-493.html
If it truly is as you say, and the second monitor has support for HDMI 1.4 then you can get the 75Hz over HDMI.
As for a software update to the other one that supposedly will make it 75Hz at 1080p, well..... it's possible, if the hardware and display controller were built properly to spec and the only initial limiting factor is simply the firmware for it. However, if the update hasn't released already, and there is no confirmed release/release date for the update then I wouldn't take the chance of assuming that it will get one and that it will do as promised. So the second one is the better choice for the 75Hz refresh rate.
However, since you say you will be looking into getting a 1050 (why not a 1050ti? It's not much more expensive but is loads better in performance, especially since it has 4GB of vRAM instead of 2GB which will help majorly in newer titles) I can recommend you the following two monitors as alternative options to look at.
They are a bit more expensive, but if you feel you can increase your budget to match then they would be better choices.
For a resolution of 1920x1080 I recommend the LG 24MP59G-P 24-Inch Gaming Monitor
which is currently discounted from $153.49 USD to $129.99 USD
https://www.amazon.com/dp/B06XDY3SJF/
It has the size you seem to be liking. It has a sleek enough design for style purposes. 5ms response times. And most importantly, it's an IPS panel which will greatly increase the visual quality of whatever it is you are viewing on it with better and more accurate colors and wider viewing angels.
For a step up to ultrawide at 2560x1080 resolution I would recommend the LG 25UM58-P 25"
Currently priced on Newegg at $169.99 USD
https://www.newegg.com/Product/Product.aspx?Item=9SIAD6H5EE3594&cm_re=LG_25UM58-P-_-24-025-340-_-Product
Same thing, IPS panel, 75Hz, better overall quality and blah blah blah..... but it's ultrawide.
On a side note though, when attempting to get more than 60hz over HDMI you need make sure the cable itself is a "high speed" HDMI cable and not a crappier low end cable. Only with the high speed cable can you do more than 60Hz. Look at whatever cable you possess and carefully try to see the text that is printed along it. Look to see what standard it says it is. If it's a high speed cable it will say so. Otherwise, you may need to purchase one. I personally bought a 2pack of Amazon Basics High Speed gold plated HDMI cables for about $12 USD and use one of them on my PS4 Pro with my 4K TV and it works wonderfully. The other one is either going to get used if and when I have another device that would use it or as a back up in case something happens to the current one I'm using or any other HDMI cable I have.