Inlines are no faster to THOROUGHLY & PROPERLY clean than most traditional muzzleloaders, and a hooked breech muzzleloader (ie: TC Hawken) is about as fast as they get...all I use are TC Hawkens and it's become a pretty straight forward 30 minute job...this is the way I happen to clean & lube my muzzleloaders:

1) Pull the barrel and put it breech end down in a steaming hot pail of soapy water;
2) While the barrel is soaking & heating up, if it's a flintlock, clean the lock with a tooth brush dipped into the hot soapy water, then blow the internals out with an aersol can of WD40 to drive off all the moisture, lightly oil internals with something like Rem-Oil;
3) Then pump flush the bore with patches and always a good bronze bore brush til clean back down to the bare raw metal;
4) Now pump flush the bore in a separate small pail of hot clean RINSE water;
5) Immediately dry patch all the moisture out of the bore to avoid flash rust;
6) Let the residual heat in the barrel bone dry the the bore for a few minutes;
7) Then while still a little warm, heavily, heavily, heavily plaster the bore with Natural Lube 1000 (from a tube, etc) so you're certain every square inch is covered/protected.

They've been a joy to shoot, cleaning and lubing them this way for years.

I used Pyrodex-RS in several TC Hawkens for years, but when I switched to Flintlocks and Goex, I found it to be so fast, clean, and accurate, I rezeroed all my percussions to Goex...but Pyrodex did very well when that's all I had...it's just with Goex, ignition is never, ever a question...ignites extremely easy & fast.