Interesting - with the Siraya TPU the temperatures are much higher in all the profiles I’ve tried. I’ll see if lowering the temp helps, and if not I’ll give Varioshore a go. I’ve just built the TPU assist module and that seems to help with the 85A I’m testing with at the moment.
I’ve used Siraya TPU Air with my X1C. Used the external spool holder.
What I did do for settings is download the filament settings for the X1C from where web site. These worked fine for me.
Figured it out - turns out I was trying to print way too slowly, thinking this would help. I’ve bumped up the speed (and vol flowrate a little) to get around 50mm/s, and the machine is happily extruding it now 
I’m pulling my hair out trying to print anything with this TPU Air filament. At this stage I would be ecstatic to see an extrusion line at the front of the print bed. I’m using the profile from Siraya Tech for the H2C by opening the relevant temp 3mf. I delete the objects on the bed an insert a 30mm cube. Filament is going directly into the right nozzle from above the printer. I tried going via an external spool via the tpu assist but the issues remain regardless. I can get the filament into the hot end most of the time without issue. Printer will even purge out the old filament without much concern. When I set the print going the printer does what it does for about 2-4min and then moves to start extrusion line in the front right. This is where it fails 99% of the time. Overpressure warning with the extruder gear clicking, no filament coming out. The last attempt did produce a very thin patch line of foam as well as the first few lines of the cube before and overpressure warning with clicking extruder gear.
If I cancel the print, manually heat up the nozzle to 225 and use the manual up arrow to remove the filament it eventually comes out. If I cut off the end and feed it back in I can get it to extrude as it should. Line up a print and it fails again. Its almost as if the filament is getting stuck in the extruder/nozzle when the printer faffing about before the print starts, I have turned off bed level to shorten this time. It matters not, fail fail fail.
@Maindog, you mention changing speed an flow rate, can you share what you change and what the new number are.