Look you have started this thread but it seems like you are unaware of any typical traditions or aspects that are limited only to punjab, OK I tell you when I grew as a child in central punjab we used to play very punjabi specific children sports even in the cities like
Baandar killa
Bantay (many genres of this sport like nishana, ek vich sarey, goli pilla, nakka pur)
Latu ( again different genres like shartan, gith)
Baadi
Gajji Chara
Bara tain
Sua/langra sher
lakiran
chor sapahi ( a very sophisticated game)
Maran maraan
Kushti
kaudi (kabaddi )
Actually more chances are that people from amritsar played all these games too but people from Rawalpindi did not because our "culture" in central punjab was more similar to neighboring border areas of indian punjab like amritsar/Gurdaspur because both areas are dominated by same jatt clans, notable Cheema and Sandhus are quite widespread jatt clans in both amritsar/Gurdaspur and Gujranwala/Sialkot/Lahore/Narowal areas and hence a lot of cultural similarities between these two areas.