I do not think so:Yes it should impact the daily numbers. There is possibility of cutoff score decreasing.
1. WES is not the only organization that does ECA.
2. Longer leadtime to deliver ECA will have no long term impact. (if 1000 people did ask for ECA every week for example, they will get it delivered sooner or later and end up increasing their score or entering EE). It would have only impact if they will significantly decrease amount of ECA issued every week and they would keep it long term (that way you would have less updates, new EE every week because of it).