Yes I bill for an annual and also a 99213(2) with a 25 modifier, in both medicare and non medicare patient populations, and get appropriately reimbursed. This may be a regional issue, but I had a partner start doing this over a decade ago, but I did not start until medicare started paying for annual wellness exams about 3-4 years ago.
I have been reviewed by the medicare auditors that come to office and have never had an issue. The reimbursement on medicare is close to what a straight annual private without a modifier is.
Generally the older more complex patient is billed this way but occasionally I will have a medicare patient on no meds or problems, and then do not use a modifier just the annual exam charge. As the age decreases the higher percentage of just the annuals without modifiers will increase.
I have just learned to bill based on what I do and document, and deal with any fall out such as irate patients, but those are few and far between.