New supply coming into the market can always affect it. But, it depends on where that new supply is going. If it's mainly going to "strong" HODLERs then there may not be much selling at all. If that's the case, new buyers coming in will drive the price up. If there are bunch of people that sell their new tokens every day, then it could move the price down a little.
The next "event" for people to sell is when the supply drops to 1 Cub per block tomorrow (or Tuesday) not sure on exact date. Once that happens, the yields in the farms will go down even further and it becomes less lucrative to farm. There may be some sellers who have milked what they could out of the high yields and now want to move on to something else. Once those tokens hit the market, it should be in pretty strong hands and the market can then move back up as new demand comes in.
RE: CUB supply after Year one