It sounds annoying to be forced to press a button or cool down the tip, to get out of Hibernation mode. With my old Quick I'm used to be able to be ready 2 sec after I lift the handpiece
As I mentioned this is standard setback (if you choose to use it). You need to clean the tip (ie give the station some indication you are using it) OR press a button to resume, it's likely this way on purpose.
The instant setback stand if connected overrides this, as the handpiece in or out of the stand dictates operation. Remove the handpiece and it auto resumes the set temp. If it's gone into Auto Off it needs a button press, again likely this way on purpose.
Daves review is quite outdated, 1-4 fixed all that to single digit resolution and control, smooths out the bouncing. The marginal temp test discussed at the end of the video also reflected poorly on the Pace. It was likely that the JBC was overshooting during recovery, if you observe closely you can just catch the JBC overshooting on the tip thermometer.
As the Pace wasn't cycling heating pulses heavily, it backs this up. It was just sitting at the cusp of liquidus temp and thermal loss in the board until the temp was turned up to a more appropriate window. A proper thermal bridge could then be established. The JBC was probably running 20-30 degrees past set temp during recovery which was sort of proven during that test and even JBCs performance charts show this "running hot" behavior. The IPC standards have been moving in the direction of regulation accuracy rather than the antiquated idle temp measurement (which only matters during idle temp calibration), it addresses this exact phenomena.
I was going to mention this to you, if you do decide to buy into JBC rather than heavily invest in their eco system (which requires a new station for each set of tools) the Unisolder runs all the handpieces (including Paces TD200 shown in this video). I'd still buy the Pace anyway as I really like their handpiece and their case can be easily modded (the transformer is even on a rail mount system) but just to let you know there are options in the future that are a bit expensive for you at the moment, should you want to take up the hobby of expensive cartridge tip and handpiece collecting that is.
If you notice the display of the Unisolder is way easier to read than the JBC in Daves videos, that is because top mounting LCD displays is the dumbest idea ever. That and attaching the stand to the station drives me nuts. The Pace way there are actually bolts on the side of the stand which can be moved anywhere. So you can attach a little container for your flux and solder paste etc and stow tips on the back of the stand. The station itself can be bracket or shelf mounted, way more flexible in my opinion than JBCs compact stations. You will notice JBC reserves that for their highend stations which are over complicated and begging to leave you with an empty heart when the LCD fails or it bricks.
Did I mention I'm biased towards Pace? Of course I am, as Dave mentioned it's the vibe. It's not just one thing it's a combination of liking them more than the things I dislike in other stations. Pace use generic parts and everything is easily serviceable. A user here on the forum brought an old Pace multichannel station from ebay a while back with a display backlight issue. Pace gave him the exact part and their supplier to assist with his repair. $1000 station (has built in vacuum) repaired for under $10.