Suppressors Suppressor for SIG SPEAR LT 5.56 and SIG Cross 6.5cm

[MajinA]

I apologize in advance if this is a dumb post but I am new to gun ownership purchasing my first rifle, ( sig spear lt 5.56) and a month later purchasing a sig cross 6.5cm. My question is the SLX762C-QD that works seamlessly with the spear lt, as it uses the clutch lock system, could somehow also be used with my sig cross 6.5cm if I purchased the 7.62 version of the suppressor. I tried researching online but couldn't find a definite answer. I was looking and was thinking maybe I could purchase this https://www.sigsauer.com/clutch-lok-tapered-qd-flash-hider-for-slx-slh-suppressors-7-62mm.html for my cross (if it is even compatible) and therefore be able to use the clutch lock system? I appreciate any insight as this is all very foreign to me.

Thank you!