The new Remington RM 380 is, despite Remington's best efforts to say otherwise, mostly a "badge-engineered" Rohrbaugh 380, so you may want to do a Google search to see if users of that model were happy or not.
I can tell you from first hand experience that I did not have a good experience with the S&W Bodyguard 380, nor has anyone that I know who has gotten one and actually shot it.
Save yourself many headaches. If you want a tiny .380, get the Ruger LCP or KLCP, the difference being a stainless slide on the KLCP. If you can live with a slightly larger .380, and it has to be a .380, then get the Glock 42 or the Ruger LC380.
As the size differential is so tiny, I would skip over the .380 entirely, and get a 9mm. In 9mm, I would get a Ruger LC9sPro, the Glock 43, the Walther PPS, or the S&W Shield. For every bad thing you read about how S&W got the Bodyguard 380 wrong, S&W outdid itself on the Shield.