When I've been involved in delivery of 1st Aid training, it gets mentioned but not as something that is necessary to have. With that said, several prepackaged kits contain it and it is a good idea to know about it.

Some good info from the web:
https://www.wemjournal.org/article/S1080-6032(16)30287-3/fulltext
https://www.realfirstaid.co.uk/haemostatics
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4869418/

If you do have it and use it - it's good advice to be sure to keep the packaging with the patient so those providing advanced care know what has been used. Also there are cautions with it as there are some situations where it should not be used.

Getting the basic training and having good old fashioned dressings and bandage material to use with direct pressure and in extremums a tourniquet (that you know how to use) should be the key gear to have for most situations. YMMV and everyone should tailor to their own needs, conditions and experience.