SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    12551, 12544, 12546, 12547, 12548, 12549, 
    12550, 12555, 12556, 12557, 12558, 
    12559, 12576, 12577, 12578, 9683, 9685, 
    9686, 9687, 9688
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00221

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12551,12544,12546,12547,12548,12549,12550,12555,12556,12557,12558,12559,12576,12577,12578,9683,9685,9686,9687,9688) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
9683 geneva 265/273
9685 brugge 265/273
9686 orlean 265/273
9687 stockholm 265/273
9688 napoli 265/273
12544 belgiyskiy-kover-granite-160x230 265/266/278
12546 belgiyskiy-kover-agat-200x300 265/266/278
12547 belgiyskiy-kover-chic-200x300 265/266/277
12548 belgiyskiy-kover-antique-160x230 265/266/277
12549 belgiyskiy-kover-basalt-160x230 265/266/267
12550 belgiyskiy-kover-fresco-160x230 265/266/278
12551 tureckiy-kover-bamboo-cuprum-200x300 265/266/268
12555 belgiyskiy-kover-origami-160h230 265/266/277
12556 belgiyskiy-kover-oscar-160h230 265/266/277
12557 belgiyskiy-kover-bauhaus-160h230 265/266/278
12558 belgiyskiy-kover-bauhaus-200x300 265/266/277
12559 belgiyskiy-kover-spectrum-160h230 265/266/278
12576 belgiyskiy-kover-apatite-160x230 265/266/278
12577 belgiyskiy-kover-mirror-160x230 265/266/267
12578 belgiyskiy-kover-boreal-160x230 265/266/278