Your pension from a local government agency has no bearing on the LWEC as it is not "earned income". This situation does not come up that often and probably the CE never had that particular question asked of him before. It may be that he is still researching the issue or is waiting someone to respond to an email.
OPM, not OWCP, makes the decision about service credit for the time that you received OWCP benefits while working elsewhere. To my knowledge, OPM does not distinguish between LWEC, total disability and/or scheduled award benefits. OWCP's role here, if asked, is merely to confirm receipt of OWCP benefits and the beginning and ending dates for any period of a scheduled award, TTD , LWEC, etc. Your current Federal agency may ask OWCP to provide that information to it for inclusion in your retirement packet whenever you do decide to retire.
You will have to elect between that LWEC and your OPM retirement when the time comes. Also, there could be a further reduction to your LWEC once you file for SSA retirement benefits (either early at age 62 or at your full retirement age, which is probably 66 or 66 and some months for you). The reduction, known as the FERS offset, is based upon your years of service under SSA with the Feds. If may not be that substantial in your case since you have at least 15 years of SSA service outside the Feds. (In other words, it won't be the entire SSA benef, just the amount attributed to your Federal civilian service.) Just be aware of the fact that the offset exists and could affect you down the line.