GroovyScriptEngine does not use configured ImportCustomizer

import org.codehaus.groovy.control.CompilerConfiguration;
import org.codehaus.groovy.control.customizers.ImportCustomizer;

File script = File.createTempFile('test', '.groovy')
script.deleteOnExit()
script.write """
println new SimpleDateFormat()
"""

// Create compiler configuration with import customizer
CompilerConfiguration config = new CompilerConfiguration();
ImportCustomizer importCustomizer = new ImportCustomizer();
importCustomizer.addImports 'java.text.SimpleDateFormat'
config.addCompilationCustomizers importCustomizer

// Run script with groovy shell: this will work
GroovyShell shell = new GroovyShell(config)
shell.run script, []

// Run script with script engine: this will not work, import customizer is not used
GroovyScriptEngine scriptEngine = new GroovyScriptEngine(script.getParent())
scriptEngine.setConfig config
scriptEngine.run script.getName(), new Binding()