No, it is not true.
If you wipe the data securely it works the same way as a traditional HDD.
However, if you just "format" the drive you only remove the FAT (File Allocation Table, or table of contents) which tells the computer where to find the files. All the information still remains. This is true for both SSD's and traditional HDD's.
If you want to securely erase a drive, you are going to want to get software which will overwrite the entire disk, I am sure there are free ones online.
However, with SSD's you have something that traditional HDD's don't have. Each memory block can only be written to a finite amount of times, and once you reach that limit that cell is no longer available to be written. So overwriting every memory block will drastically lower the life of your SSD, especially if you do 7 passes (normally suggested).