Government and (Westeminster) Labour Party are close to lockstep. If there's to be cessation of Israel-Gaza conflict (whether pause, cessation or resolving to discuss terms) then it has to be bilateral. Scottish Labour has perhaps forced the idea that A Message Must Be Sent (to one or other such end), despite such messages being probably not worth the vellum they probably won't even be written on. Likud may pay attention to British opinion slightly more than Hamas would, but that's a spectacularly low bar already.
The SNP seems to favour a more unilateral approach (it's hard to know what remains of the pre-October radicalised organisation, anyway... or how much post-October radicalisation may have offset its natural attrition).
As I understand it, it's a break in tradition for Labour's ammendment to be considered, against the SNP original, when there's already such a similar Conservative government pre-emptive (performative) proposal in the loop. But, realistically, the pure SNP version wouldn't satisfy enough people to get legs. Whilst, despite heavy disagreements within both Lab and Con groupings, the Labour proposal could get support enough (and not lose too much for being too cross-chamber in nature, give or take what levels and type of pressure various whips exert), probably moreso than what I understand might be the fate of the Government alternative. But there will be objections on principle for all permutations, even where the sentiments aren't too different from the respective representatives.
...but I haven't been following the details too closely, as I class this as pretty much ineffectual regardless of what mix of 'suggestions' are going to be made. This is for internal consumption only and will mean effectively zero effects 'over there'.