We are videographers working in Cyprus. To answer your question, yes it is a lot busier in August than in May or September for example. If you want a videographer (which I highly recommend!) check us out.
There are a couple of FB pages where the brides are wonderfully helpful.
There is even a Nissi Beach page. https://www.facebook.com/groups/373165299433839/
This is a general Cyprus Brides page. https://www.facebook.com/groups/229053193850978/450829215006707/?notif_t=group_activity
I wouldn't worry as much about Ayia Napa being a party zone in August as much as the heat of August! You really don't want to be in a wedding dress during that month! I'd suggest early June or mid/end September. The weather is also much better suited to photography those months as the atmosphere doesn't have as much humidity plus you won't be perspiring as much!