ModifyResponseBody serialize Dates as timestamp

For using RouteLocatorBuilder to modifyResponseBody returns dates as timestamp.
I am using write-dates-as-timestamp=false and it works for other API endpoint or for bean ObjecMapper. I can not solve that problem. I check the samples but there is simple String to String modifying response body.

Sample
It is route definition

.route(
            "responseSchedule",
            predicateSpec ->
                predicateSpec
                    .path("/schedules/**")
                    .and()
                    .method(GET, POST, PUT, DELETE)
                    .filters(this::applyTest)
                    .uri(schedulerUrl))

Which use rewriteFuntcion:

private UriSpec applyTest(GatewayFilterSpec f) {
    return f.modifyResponseBody(
        StackScheduleResponse.class,
        ScheduleResponse.class,
        MediaType.APPLICATION_JSON_VALUE,
        parseResponse());
  }

private RewriteFunction<StackScheduleResponse, ScheduleResponse> parseResponse() {
    return (serverWebExchange, s) -> Mono.just(map(s));
  }

map method simply map one object on another, but the response from gateway is like below, but "time" properties are as timestamp, properties are defined as OffsetDateTime:

{
	"name": "report",
	"action": null,
	"schedule_type": "monthly",
	"start_time": 1593455160.000000000,
	"end_time": 1666343280.253480200,
	"next_run": null,
	"schedule_params": {
		"interval": "months",
		"frequency": 12,
		"days_of_week": null,
		"weeks_of_month": null,
		"last_day_of_month": null,
		"day_of_month": 10
	},
	"action_kwargs": {
		"job_guid": null
	}
}

Start with the RouteLocatorBuilder route and its modifyResponseBody filter, then compare the configured write-dates-as-timestamp behavior with the response produced by the RewriteFunction. Reproduce the sample using OffsetDateTime fields and verify that the completed response preserves the intended date representation rather than timestamps.