The 'current' already has straps for the wheel hoops, so not much chance of the bike coming dislodged. And so, no reason to bear down on the bar holding the bike down and in place. I would get some tube foam and add to the current foam to the hold-down hooks. Something with some thickness and give, but not too squishy.
Adding the extra foam will allow you to put a firm hold on the bike and still have some 'give' in the foam so it's not putting undo pressure. When you hit bumps and the bike moves a tiny amount, the foam will give and absorb the movement, without undue additional pressure/force on the bike.
That's what I plan on doing... I'm getting a swagman also ( the cheaper one), for those few times when I need to use a rack and keep cargo space in the SUV...
I really don;t need the super-delux other higher priced racks. Had my bike on another guy's swagman, and it's plenty fine for me (with the extra foam tubing...)
Ride On
Yuri