In some executions it will have the same thread as the synchronization of all functions, of course, but in order for it to be really equivalent to synchronizing this method, it should have the same thread for all executions.
As it is, there is a chance that another thread will capture the lock (whether for this method or some other code lock on one monitor) halfway through execution. This could not happen if the method itself was synchronized, so they are not equivalent.
(In any case, locking on this is considered bad practice anyway, I cannot remember the last time I wrote a synchronized method. Instead, I block private monitors so that I know my code, this is the only code that can block them.)
EDIT: To respond to your edit:
All I need to know is whether I can count on all execution contexts that both threads (for example, Thread1 and Thread2) can be in the method at the same time, for example, thread2 in the first synchronization block and thread1 in the second synchronization block for concurrency achievements
Absolutely not! It guaranteed that you would not have two streams as in the synchronized block synchronized on one monitor.
You have three sections of code: the first synchronized block, the unsynchronized part, and the second synchronized part.
Any number of threads can execute in the unsynchronized part at a time. For any instance (since you are synchronizing on this ), only one thread can execute any of the synchronized blocks. If you want to achieve concurrency, you will have to synchronize them on different monitors.
Also, it looks like you want the scheduler guarantees to allow another thread to capture the lock if it was waiting for it. I do not believe that there is such a guarantee - a thread executing the first block can release the lock, but continue in the same temporary sheet and re-acquire it before all other threads enter. In some JVMs that may not happen, but I donβt know, t believe there is no guarantee around it.