Yes, CoreStorage volumes hide the Recovery HD in the Startup Manager (Alt/Option). You have to use Command+R with CoreSorage volumes.
If you want to revert your CoreStorage back to the native file type, open Terminal and type diskutil cs list. At the bottom of the list you should see a line that says Revertible: Yes (or it may say no). If it says 'yes', then look about 3 lines up for the Disk: line. It should say disk1 to the right. Use that value with the following command: diskutil cs revert <from Disk:>
$ diskutil cs list
CoreStorage logical volume groups (1 found)
|
+-- Logical Volume Group 38738CDE-7111-4AA6-9642-FA86171808A7
=========================================================
Name: Macintosh HD
Status: Online
Size: 250140434432 B (250.1 GB)
Free Space: 18882560 B (18.9 MB)
|
+-< Physical Volume FC891F08-1F83-40E3-ACBC-F2E821C52B4C
| ----------------------------------------------------
| Index: 0
| Disk: disk0s2
| Status: Online
| Size: 250140434432 B (250.1 GB)
|
+-> Logical Volume Family 8C585BFE-F1D5-4D33-9C9D-E1C4D2BD28E9
----------------------------------------------------------
Encryption Type: None
|
+-> Logical Volume A23357E3-9A51-4902-A73E-6754A9EADE5B
---------------------------------------------------
Disk: disk1
Status: Online
Size (Total): 249769230336 B (249.8 GB)
Revertible: Yes (no decryption required)
LV Name: Macintosh HD
Volume Name: Macintosh HD
Content Hint: Apple_HFS