EBS is a SharePoint API so you can use this with SQL Standard Edition.
SP 2010 does support the use of EBS.
The SMSP EBS/RBS provider works with EBS. In the SMSP Storage Optimization, you select the use of EBS instead of RBS.
From a performance perspective, Microsoft FILESTREAM RBS and SMSP EBS is about the same. FILESTREAM performance is marginally better performing. However, the actual performance will depend on your environment.
From an operational perspective, I would recommend SMSP EBS as you can manage the externalization of SP content from within SMSP. With EBS, you can set more granular externalization policies.
With FILESTREAM RBS, you need to ensure that the SQL layout is correct or the database backups won't work. Basically, you are not going to be putting databases configured with FILESTREAM RBS on the same LUNs as database that are not enabled.
Please let me know if you have any questions.