springboot @BasePathAwareController with jackson-dataformat-xml returns 406

spring:
  datasource:
    username: ***
    password: ***
    url: jdbc:postgresql://localhost:5432/***

  data:
    rest:
      base-path: api

plugins {
    id 'java'
    id 'org.springframework.boot' version '2.2.5.RELEASE'
    id 'io.spring.dependency-management' version '1.0.9.RELEASE'
    id 'com.google.cloud.tools.jib' version '1.8.0'
}

group = 'com.example'
version = '0.0.1-SNAPSHOT'
sourceCompatibility = '11'

configurations {
    developmentOnly
    runtimeClasspath {
        extendsFrom developmentOnly
    }
    compileOnly {
        extendsFrom annotationProcessor
    }
}

repositories {
    mavenCentral()
}

dependencies {
    implementation 'org.springframework.boot:spring-boot-starter-data-jpa'
    implementation 'org.springframework.boot:spring-boot-starter-data-rest'
    implementation 'com.fasterxml.jackson.dataformat:jackson-dataformat-xml'
    implementation 'com.fasterxml.woodstox:woodstox-core:6.0.3'

    compileOnly 'org.projectlombok:lombok'
    annotationProcessor 'org.projectlombok:lombok'

    runtimeOnly 'org.postgresql:postgresql'

    developmentOnly 'org.springframework.boot:spring-boot-devtools'

    testImplementation('org.springframework.boot:spring-boot-starter-test') {
        exclude group: 'org.junit.vintage', module: 'junit-vintage-engine'
    }
    testImplementation 'org.springframework.security:spring-security-test'
//    testImplementation 'org.testcontainers:postgresql:1.12.3'
    testImplementation 'org.springframework.cloud:spring-cloud-starter:2.1.3.RELEASE'
    testImplementation 'com.playtika.testcontainers:embedded-postgresql:1.26'
//    testImplementation 'org.hamcrest:java-hamcrest:2.0.0.0'
//    testImplementation('com.h2database:h2:1.4.199')

    testCompileOnly 'org.projectlombok:lombok'
    testAnnotationProcessor 'org.projectlombok:lombok'
}

test {
    useJUnitPlatform()
}

package com.example.gradlexml;

import lombok.AllArgsConstructor;
import lombok.Data;
import org.springframework.boot.SpringApplication;
import org.springframework.boot.autoconfigure.SpringBootApplication;
import org.springframework.data.rest.webmvc.BasePathAwareController;
import org.springframework.web.bind.annotation.GetMapping;
import org.springframework.web.bind.annotation.RequestMapping;
import org.springframework.web.bind.annotation.RestController;

@SpringBootApplication
public class GradleXmlApplication {

    public static void main(String[] args) {
        SpringApplication.run(GradleXmlApplication.class, args);
    }
}

@BasePathAwareController
@RestController
@RequestMapping("/v1/test")
class MyController {

    @GetMapping
    public MyData get() {
        return new MyData("123");
    }
}

@Data
@AllArgsConstructor
class MyData {
    private String x;
}

If one executes:

http -v :8080/api/v1/test Accept:application/json

then it's ok. But as for XML:

http -v :8080/api/v1/test Accept:application/xml

SB returns 406 with exception in console:

2020-03-27 13:35:47.614  WARN 19356 --- [nio-8080-exec-3] .w.s.m.s.DefaultHandlerExceptionResolver : Resolved [org.springframework.web.HttpMediaTypeNotAcceptableException: Could not find acceptable representation]

But if the @BasePathAwareController annotation is commented out (and url is prefixed with /api):

...
//@BasePathAwareController
@RestController
@RequestMapping("/api/v1/test")
class MyController {
...

Then everything works as expected.

Comment From: wilkinsona

The behaviour that you are seeing is to be expected as Spring Data REST only supports JSON at this time. When you add @BasePathAwareController, you are asking Spring Data REST to handle requests to MyController rather than using Spring MVC's general request handling. As a result, MyController can no longer produce XML responses.