To avoid this pissing contest and avoid continuing to hijack this thread, I have started another thread.
https://www.eevblog.com/forum/projects-designs-and-technical-stuff/cat-ratings-and-interpretation/In any recommendation of any multimeter one must consider its use, and possible mode of failure in this intended use. Consider that an instrument might be pressed into service beyond the original purchase criteria and that the best buy is to buy something that will not be dangerous or have flaws that might cause harm from future error in use, or from unintended use by the original purchaser or another person.
IMHO the UT71E is not a good buy, there are others as I have posted that are much better buys. The UT61E is a good entry model multimeter but it too has its flaws.
In the low end of multimeters to buy it is definitely worth look at Dave's video on the $50 shootout, and for better meters his $100 shootout. I am sure that Dave will be the first to say that his reviews do not reflect the total of all available choices, and that the evidence of a good meter from one manufacturer for a specific model is not conclusive evidence that all models from the same manufacturer are equally as good. This is shown easily with "$50" Extech vs the "$100" Extech.
If you want no questions asked general acceptance of quality, buy an Agilent, Fluke, Gossen, etc and pay your bucks. This is, of course, not a guarantee that you will get the best buy, the most accurate, nor even the most suitable to the task you want.
IMHO, if someone has a concern with the accuracy, reliability, and safety of a specific multimeter, and it is not just the opinion of just one loud mouth complainer, then it warrants consideration.
Again, my recommendations for meters would include UNI-T for these models for low energy and low voltage work and for a budget price: UT10A as a really nice little pocket meter, UT33C as a good general purpose small troubleshooting meter for automobiles and general electronics.
For general electrical and electronics with a fair amount of safety and confidence, the UT61E is a good buy meter for around $60.
For high energy circuits and high accuracy I would not hesitate to buy a Fluke 87V, Aglient 1252, Bryson BM857 or BM867 or BM869, Amprobe AM-140-A or AM-160-A, or UEi DM397. This list is not exhaustive of course and some are MUCH more expensive than the others. The list also not from experience but from trusted sources for reviews and information.
My experience with modern multimeters is rather limited as I have just started to update my equipment after my last updates of equipment from many years past.