Happens all the time. Depends on the board though. Alliance wake did an article/test of many available boards in the San Diego surf back in 2012.
This question comes up on pretty much every forum fairly regularly. If you know how to surf, then it is not a big deal, however, a wakesurf is probably one of the worst boards you could choose to try to learn to surf. Some wakesurf boards are very similar to the waveskate genera of surfboards, others are similar to simmons or soap boards. If your wakesurf has a very low to none existent tail rocker, you are better off using it as a skim board.
My team riders over the years would use their boards in the ocean. One of Johnny Stieg's favorite boards was a board we put together for behind the boat, but he rode it more in the ocean than anything, partly cause at the time he did not have a boat, but also because the board was equally at home in the ocean, as long as you know how to ride.
Nick
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