I only recently really realized what the general public's perception of this series was, while watching the SR3R reviews. As I said some time ago, I was pretty shocked when seeing most of the reviewers and commenters say that SR3 was the best in the series. But know that Mattie104 mentions it, it makes sense. It's all Volition's doing. They tried so hard to distance themselves from the stigma that was given to them, and they succeeded in a way. And even if the new direction isn't my cup of tea, I'm not mad. They had no choice. You can't win against the public opinion, even when the public opinion is wrong.
We won't get a SR1 & 2 remasters, that's fo sho. However there's a faint hope that the Saints Row series could return to the gangster style. With GTA Online being the face of the GTA series right now and for a long time to come (as GTA 6 is only in early development according to Jason Schreier), and with all the wacky and futuristic stuff they added over the years people started to complain that GTA was turning into "a Saints Row game" (obviously referring to the SR3 & 4 era). So today, more than ever, there is a demand for a grounded open world sandbox crime simulator with an emphasis on shooting and driving elements (nope, I won't say the taboo term, even if it's way faster).
On top of that, the fact that Rockstar and their parent company are starting to get called out for all the nasty shit they're doing (ruthless campaigns against modders, tax fraud, etc) means that more and more people are looking for an alternative company to support. *wink wink, nudge nudge* That could be you, Volition!
Seriously, Rockstar's time is long overdue. It's time for the mighty to fall and for the underdog to rise.