Even the TV connected DVRs such as the HDMI units shouldn’t be used with no internet connection ever. You need internet sometimes.
I should be explicit then, you can have reliable slow internet, and if your internet is just slow it shouldn’t be a reason to not get a network connected DVR.
If you have unreliable internet where it’s not working or disconnected 50% of the time then yes consider another option.
My old DVR+ had an electronic program Guide. When its Guide system died, it would pull the 2-week program Guide from the broadcast signal. I switched to that technique for several weeks before I abandoned it entirely and got the Tablo Dual HDMI.
I went with the Dual HDMI version of the Tablo because I just wanted to plug the TV into the Tablo without a lot of other network dongles. My whole house is wired with Cat5e, but resetting all of the little dongle boxes scattered about when they misbehave is something that I wanted to avoid.
I don’t think that the Tablo can pull the program guide from the broadcast signal (but I haven’t actually tested this by unplugging my ethernet cable from it).