I can't speak to the Atlas ESR70, but I own both a LC53, purchased new in 1984 from Sencore, and I own the DE 5000. I'd recommend the DE 5000 as a first purchase, as it's very accurate and not too expensive. If you can afford it, buy both meters - they are good test tools and I'd recommend them.
I just took my Sencore LC53 apart to inspect it and recap the power supply and check all the other electrolytics. Surprisingly, all the caps checked out good. But I did recap the power supply and add a fuse to the line cord. My LC53 was one of the last runs made, before Sencore started making the LC77 the next year, and before the 1990's bad cap era started. However, my LC53 recently started reading large caps values incorrectly, so I'm currently recalibrating it.