That is a good question. You have two easy options there.

1) Create a job that does something, anything. Maybe even select name from sys.databases

Set it to run based on that schedule. check that it's going to run april 1st. Now run it manually and then see if that changes

2) Run the job anyways and if the date changes, reset the schedule again.

Either of those should answer the question. My personal guess is that it will hold the correct schedule still, but I don't have my lab near me right now.